Question

The sum of two digit no is 15 if the number form by reversing a digit is less than a digit number by 27 find the original number

Answer 1

Answer:

Rick

Step-by-step explanation:

☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺

Answer 2

Given:

Sum of two digit digit number=15

original number-new number=27

To Find:

The original number.

Solution:

• Let the digit in the units place be x.
• Then,the digit in the tens place will be=(15-x)
• Therefore , the original number :

        $10\times (15-x)+x=(150-9x)$

• On,reversing the digits,we have x at tens place and (15-x) at units place.
• The new number:

        $10\times x+(15-x)=(9x+15)$

• Now, according to question:(original number)-(new number)=27

       $(150-9x)-(9x+15)=27$

   ⇒$135-18x=27$

   ⇒$18x=(135-27)$

   ⇒$x=\dfrac{108}{18}$

   ⇒$x=6$

• Therefore, the original number will have unit digit=6 and tens digit=(15-6)=9.
• ∴The original number is 96.